WASHINGTON—An attorney for the California college professor who has accused Supreme Court nominee Brett Kavanaugh of sexually assaulting her when they were teenagers said she would be willing to testify next week before the Senate Judiciary Committee, an offer that could break a partisan logjam over whether the FBI should investigate her allegations.

Christine Blasey Ford isn’t willing, however, to go before the panel by Monday, when a hearing is now scheduled, her lawyer wrote in an email Thursday to committee staff members....

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